What is the Greatest Common Factor of 32544 and 32553?

Greatest common factor (GCF) of 32544 and 32553 is 9.

GCF(32544,32553) = 9

We will now calculate the prime factors of 32544 and 32553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32553.

How to find the GCF of 32544 and 32553?

We will first find the prime factorization of 32544 and 32553. After we will calculate the factors of 32544 and 32553 and find the biggest common factor number .

Step-1: Prime Factorization of 32544

Prime factors of 32544 are 2, 3, 113. Prime factorization of 32544 in exponential form is:

32544 = 2⁵ × 3² × 113¹

Step-2: Prime Factorization of 32553

Prime factors of 32553 are 3, 3617. Prime factorization of 32553 in exponential form is:

32553 = 3² × 3617¹

Step-3: Factors of 32544

List of positive integer factors of 32544 that divides 32544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 113, 144, 226, 288, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 8136, 10848, 16272

Step-4: Factors of 32553

List of positive integer factors of 32553 that divides 32544 without a remainder.

1, 3, 9, 3617, 10851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32553. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32553 is 9.

Also check out the Least Common Multiple of 32544 and 32553